Hai-jun Yu

Nonclassical properties of Hermite polynomial’s coherent state

In this paper, we introduce the Hermite polynomial’s coherent state (HPCS) |α〉H, which is defined as Hn(X)|α〉 up to a normalization constant and where Hn(X) is the coordinate operator’s Hermite polynomial of order nand |α〉=exp(−(1/2)|α|2+αa†)|0〉. This state may be produced by the superposition of some different photon added coherent states when n=2. The mathematical and physical properties of HPCS are also studied. It is shown that HPCS has remarkable nonclassical state features such as sub-Poissonian and squeezing properties.

New photon-counting formula in thermo field dynamics

Abstract We show that the probability distribution of registering m photoelectrons can be explained in Thermo Field Dynamics theory as a matrix element of thermo entangling operator between and where is a fictitious Fock state. Based on this, the new integration formula for calculating which involves both Laguerre polynomial and the characteristic function of ρ, is obtained. This provides us with convenience for evaluating photoelectric counting probability for various optical fields.